**Q1. The height of a right prism with a square base is 15 cm. If the total S.A. of prism of 608cm**^{2}. The find its volume (in cm^{3}**)**

(a) 480

(b) 460

(c) 1500

(d) 960

**Q2. The base of a right pyamid is a square of side 16 cm long. If its height be 15 cm, then the area of the lateral surface in square cm is:**

(a) 136

(b) 544

(c) 800

(d) 1280

**Q3. The base of a right prism is a right angled triangle whose sides are 5 cm, 12 cm and 13 cm. If the total surface area of the prism is 360 cm**^{2}, then its height (in cm) is

(a) 10

(b) 12

(c) 9

(d) 11

**Q4. If the base of right prism remains same and the lateral edges are halved, then its volume will be reduced by**

(a) 33.33%

(b) 50%

(c) 25%

(d) 66%

**Q5. A right prism has a triangular base whose sides are 13 cm, 20 cm and 21 cm, If the altitude of the prism is 9 cm, then its volume is**

(a) 1143 cm^{3}

(b) 1314 cm^{3}

(c) 1413 cm^{3}

(d) 1134 cm^{3}

**Q6. How many bullets can be made out of a cube of lead whose edge measures 22 cm, each bullet being 2 cm in diameter?**

(a) 5324

(b) 2662

(c) 1347

(d) 2541

**Q7. When each side of a cube is increased by 2 cm, the volume is increased by 1016 ****cm**^{3}. Find the side of the cube. If each side of it is decreased by 2 cm, by how much will the volume decrease?

(a) 12 cm, 729 cm^{3}

(b) 8 cm, 512 cm^{3}

(c) 9 cm, 729 cm^{3}

(d) 12 cm, 728 cm^{3}

**Q8. A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their respective volumes is:**

(a) 1 : 2 : 3

(b) 2 : 1 : 3

(c) 1 : 3 : 2

(d) 3 : 1 : 2

**Q9. A room is 36 m long, 12 m wide and 10 m high. It has 6 window, each 3 m × 2.5 m; one door 9.5 m × 6 m and one fire chimney 4 m ×**** 4.5 m. Find the expenditure of papering its walls at the rate of 70 paise per metre, if the width of the paper is 1.2 m:**

(a) Rs. 490

(b) Rs. 690

(c) Rs. 1000

(d) None of these

**Q10. The radius and the height of a cone are in the ratio 4 : 3. The ratio of the curved surface area and total surface area of the cone is:**

(a) 5 : 9

(b) 3 : 7

(c) 5 : 4

(d) 16 : 9

**Q11. A cube of side 8 metre is reduced 3 times in the ratio 2 : 1. The area of one face of the reduced cube to that of the original cube is in the ratio:**

(a) 1 : 4

(b) 1 : 8

(c) 1 : 16

(d) 1 : 64

**Q12. The base of a right prism is a triangle whose perimeter is 45 cm and the radius of incircle is 9 cm. If the volume of the prism is 810 cm**^{3}. Find its height:

(a) 5 cm

(b) 4 cm

(c) 6 cm

(d) 4.5 cm

Solutions

1.D

2.B

3.A

4.B

5.D

6.D

7.D

8.A

9.A

10.A

11.D

12.B